Finite Group Databasebeta

?

← Prev (#13152269) Next (#13152271) →

C₃²⋊(#564⋊C₃) #13152270

• solvable
• monomial
• stem

Aliases

Splittings

Subgroups

244 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

3^3,2^6|d^2=h,e^2=hi,f^2=hi,g^2=i,b^a=bc,d^a=de,e^a=dhi,f^a=fg,g^a=fi,h^a=i,i^a=hi,f^d=fh,g^d=gi,f^e=fi,g^e=ghi

Conjugacy classes & character table

65 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 18333);